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nydimaria [60]
3 years ago
12

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th

at is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt
Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

3\frac{3}{4} yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 \frac{2}{4} - (2\frac{2}{4} + 4\frac{1}{4}) = x

10 \frac{2}{4} - 6\frac{3}{4} = x

3\frac{3}{4} = x

Finally, we can see that Rebecca needs a total of 3\frac{3}{4} yards of fabric to finish her quilt.

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Given f(x) = 3x-1 and g(x) - 2x-3, for which value of x does g(x) = f(2)?
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Answer:

x = 4

Step-by-step explanation:

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4 0
3 years ago
A triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle
yan [13]

The perimeter of the triangle is 15.4 units.

<u>Step-by-step explanation:</u>

The triangle has vertices at (-1,5), (4,2), and (0,0).

To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.

Let us consider the points as A (-1,5) and B (4,2) and C (0,0).

<u>The distance formula is given by :</u>

⇒ \sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

<u>Distance of AB :</u>

A (-1,5) ⇒ (x1,y1)

B (4,2) ⇒ (x2,y2)

⇒ \sqrt{(4+1)^{2}+(2-5)^{2}  }

⇒ \sqrt{5^{2}+-3^{2}  }

⇒ \sqrt{25+9}

⇒ \sqrt{34}

⇒ 5.8

∴ The length of the side AB of the triangle is 5.8 units.

<u>Distance of BC :</u>

B (4,2) ⇒ (x1,y1)

C (0,0) ⇒ (x2,y2)

⇒ \sqrt{(0-4)^{2}+(0-2)^{2}  }

⇒ \sqrt{16+4  }

⇒ \sqrt{20}

⇒ 4.5

∴ The length of the side BC of the triangle is 4.5 units.

<u>Distance of CA :</u>

C (0,0) ⇒ (x1,y1)

A (-1,5) ⇒ (x2,y2)

⇒ \sqrt{(-1-0)^{2}+(5-0)^{2}  }

⇒ \sqrt{1+25}

⇒ \sqrt{26}

⇒ 5.1

∴ The length of the side CA of the triangle is 5.1 units.

Now, the perimeter of the triangle is given by :

Perimeter = Sum of the lengths of all three sides of the triangle.

⇒ 5.8 + 4.5 + 5.1

⇒ 15.4 units.

∴ The perimeter of the triangle is 15.4 units.

4 0
3 years ago
Can someone help me?
Marysya12 [62]
Yeah whatchu need homie
5 0
4 years ago
The correct answer to the question
Sidana [21]
The answer is C you have to convert 20 % in a decimal 0.2
4 0
3 years ago
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